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29107296 = 253359571
BaseRepresentation
bin110111100001…
…0010001100000
32000202210201000
41233002101200
524422413141
62515512000
7502256631
oct157022140
960683630
1029107296
1115480819
1298b8600
13605186a
143c19888
15284e5b6
hex1bc2460

29107296 has 96 divisors (see below), whose sum is σ = 86486400. Its totient is φ = 9521280.

The previous prime is 29107289. The next prime is 29107307. The reversal of 29107296 is 69270192.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29107296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50691 + ... + 51261.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 229107296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43243200).

29107296 is an abundant number, since it is smaller than the sum of its proper divisors (57379104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29107296 is a wasteful number, since it uses less digits than its factorization.

29107296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 29107296 is about 5395.1177929680. The cubic root of 29107296 is about 307.6101211776.

It can be divided in two parts, 29107 and 296, that added together give a triangular number (29403 = T242).

The spelling of 29107296 in words is "twenty-nine million, one hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 571 708 864 944 1062 1142 1416 1593 1713 1888 2124 2284 2832 3186 3426 4248 4568 5139 5664 6372 6852 8496 9136 10278 12744 13704 15417 16992 18272 20556 25488 27408 30834 33689 41112 50976 54816 61668 67378 82224 101067 123336 134756 164448 202134 246672 269512 303201 404268 493344 539024 606402 808536 909603 1078048 1212804 1617072 1819206 2425608 3234144 3638412 4851216 7276824 9702432 14553648 29107296